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52379645956 = 2211210121032
BaseRepresentation
bin110000110010000100…
…011111100000000100
312000012102112201012021
4300302010133200010
51324233142132311
640021325332524
73533005434031
oct606204374004
9160172481167
1052379645956
1120239a43300
12a199a07144
134c29a80061
14276c7b2388
15156874a171
hexc3211f804

52379645956 has 81 divisors (see below), whose sum is σ = 102760092309. Its totient is φ = 23344332000.

The previous prime is 52379645951. The next prime is 52379646013. The reversal of 52379645956 is 65954697325.

The square root of 52379645956 is 228866.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50325743556 + 2053902400 = 224334^2 + 45320^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 52379645894 and 52379645903.

It is not an unprimeable number, because it can be changed into a prime (52379645951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 508540201 + ... + 508540303.

Almost surely, 252379645956 is an apocalyptic number.

52379645956 is the 228866-th square number.

It is an amenable number.

52379645956 is a deficient number, since it is larger than the sum of its proper divisors (50380446353).

52379645956 is a wasteful number, since it uses less digits than its factorization.

52379645956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 217 counting only the distinct ones).

The product of its digits is 61236000, while the sum is 61.

The spelling of 52379645956 in words is "fifty-two billion, three hundred seventy-nine million, six hundred forty-five thousand, nine hundred fifty-six".

Divisors: 1 2 4 11 22 44 101 103 121 202 206 242 404 412 484 1111 1133 2222 2266 4444 4532 10201 10403 10609 12221 12463 20402 20806 21218 24442 24926 40804 41612 42436 48884 49852 112211 114433 116699 224422 228866 233398 448844 457732 466796 1050703 1071509 1234321 1258763 1283689 2101406 2143018 2468642 2517526 2567378 4202812 4286036 4937284 5035052 5134756 11557733 11786599 23115466 23573198 46230932 47146396 108222409 127135063 129652589 216444818 254270126 259305178 432889636 508540252 518610356 1190446499 2380892998 4761785996 13094911489 26189822978 52379645956